Question

Сколько досок длиной 3,5 м, шириной 20 см и толщиной 10 мм выйдет из бруса длиной 140 дм, имеющего в сечении прямоугольник размером 50 см × 60 см?

Answer 1

   140 дм.= 14 метром. Из бруска получится толщиной 50 х 60 , при раскрое по торцу,не считаяотходов на распил. получим  40 шт. !4 м. : 3.5 м.  = 4 шт.                                40 шт. х 4 шт.= 160 шт.

Answer 2

Ответ 9000 
переводим всё в метры 3,5 см=0,035м 
20см=0,2м 
20мм=0,02м 
выщитываем площадь балки 0,3м*0,4м*10,5м=1,26метров кубических 
1 доска площадь = 0,035*0,2*0,02 = 0,00014м3 
1,26м3/0,00014м3=9000

Answer 3

Calculating the Number of Boards

To calculate the number of boards that can be obtained from the given timber, we need to consider the volume of the timber and the volume of the boards.

The volume of the timber can be calculated as the product of its length, width, and thickness. The volume of each board can be calculated as the product of its length, width, and thickness.

Given: - Length of timber (in decimeters): 140 dm - Cross-section of timber (rectangle): 50 cm × 60 cm - Length of boards: 3.5 m - Width of boards: 20 cm - Thickness of boards: 10 mm

Calculating the Volume of the Timber

The volume of the timber can be calculated using the formula: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Thickness} \]

Substituting the given values: \[ \text{Volume of Timber} = 140 \, \text{dm} \times 50 \, \text{cm} \times 60 \, \text{cm} \]

Converting Units

Before proceeding with the calculation, it's important to convert all measurements to the same unit. Let's convert the length of the timber from decimeters to centimeters: \[ 140 \, \text{dm} = 1400 \, \text{cm} \]

Now we can calculate the volume of the timber.

Calculating the Volume of the Boards

The volume of each board can be calculated using the formula: \[ \text{Volume} = \text{Length} \times \text{Width} \times \text{Thickness} \]

Substituting the given values: \[ \text{Volume of Each Board} = 3.5 \, \text{m} \times 20 \, \text{cm} \times 10 \, \text{mm} \]

Converting Units

Before proceeding with the calculation, it's important to convert all measurements to the same unit. Let's convert the length of the boards from meters to centimeters: \[ 3.5 \, \text{m} = 350 \, \text{cm} \]

Now we can calculate the volume of each board.

Final Calculation

Now that we have the volume of the timber and the volume of each board, we can calculate the number of boards that can be obtained from the given timber by dividing the volume of the timber by the volume of each board.

Let's proceed with the final calculation.